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Concept explainers
(a)
What is the capacitance of Earth-ionosphere when it is treated as parallel plate capacitor and why is it ok to consider like that.
(a)
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Answer to Problem 112P
The capacitance of Earth ionosphere when it is treated as parallel plate capacitor is
Explanation of Solution
The Earth-ionosphere system can be considered as parallel plate since,
Thus, the Earth can be considered as flat when compared to the distance between the plates.
Write the equation for capacitance.
Here,
Conclusion:
Substitute
Therefore, the capacitance of Earth ionosphere when it is treated as parallel plate capacitor is
(b)
Find the energy stored in the capacitor.
(b)
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Answer to Problem 112P
The energy stored in the capacitor is
Explanation of Solution
Write the equation for energy.
Here,
Conclusion:
Substitute
Therefore, the energy stored in the capacitor is
(c)
Find the resistance of lower atmosphere and the total current flows from Earth’s surface to ionosphere.
(c)
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Answer to Problem 112P
The resistance of lower atmosphere is
Explanation of Solution
Write the equation for resistance.
Here,
Write the equation for current.
Here,
Conclusion:
Substitute
Substitute
Therefore, the resistance of lower atmosphere is
(d)
Find the time it would take Earth’s charge to reduce to
(d)
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Answer to Problem 112P
The time it would take Earth’s charge to reduce to
Explanation of Solution
Write the equation for charge.
Here,
Rewrite the above equation to get time.
Conclusion:
Substitute
Therefore, the time it would take Earth’s charge to reduce to
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Chapter 18 Solutions
Physics
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